Conic Sections Project

You will be assigned the ID number for one of the following conic section equation pages. Your group has a unique set of systems, so it is important that you record the ID number in your planner.

Part I: Algebraic Representation
For each system, you must complete the following:

1. Rewrite (if needed) the equation in standard or vertex form.
2. Name the conic section represented by the equation.
3. If the conic is a

1. Parabola, identify the following:

• Coordinates of the Vertex
• Minimum, Maximum, or Neither
• Function or not
• Domain & Range

1. Circle, identify the following:

• Coordinates of the Center
• Radius
• Domain & Range

1. Ellipse, identify the following:

• Coordinates of the Center
• Major Axis (horizontal or vertical)
• Length of the Major & Minor Axes
• Domain & Range

1. Hyperbola, identify the following:

• The coordinates of each vertex.
• The coordinates of the four vertices of the ‘drawing’ box.
• Length of the Transverse Axis & length of the Conjugate Axis
• Equations of the Asymptotes

Part II: Graphic Representation
You must graph each system using the following rules and guidelines.

1. Each system must be graphed on a separate sheet of graph paper.
2. You must use two different colors for each system – one color for each graph.
3. Each graph must be labeled by name and equation – (refer to #1 and #2 above).
4. For each inequality, you must shade the intersection of the solution set (if any).
5. To the side (or above/below), include all components of #3 above that are relevant for each graphed equation.

Part III: Putting it All Together

1. You must create a title page containing:
   1. The title of your project
   2. Your name and signed honor code
   3. A colored picture/illustration involving at least one conic section
2. When finished, combine your pages in this order:
   1. Title Page
   2. Conic Section Problem Set (your original handout of 4 systems)
   3. The graphed inequalities in the order assigned on the original handout

Additional Requirement:
Your project must have a theme (ex: summer days, fish bowls, and happy cats.) Your theme must be reflected on the title page, as well as on each graphed system.

Helpful Hints:

1. Remember to distinguish between solid and dashed lines.
2. Remember to draw and label an appropriate coordinate plane.
3. If you have difficulty determining the appropriate region to shade, remember to test a point.

DUE: FRIDAY MAY 21, 2010
Beginning of Class

10% Grade Reduction per Day Project is Late